A Quote by Nikolai Lobachevsky

In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can as yet make no advance from that state in which it came to us from Euclid. As belonging to these imperfections, I consider the obscurity in the fundamental concepts of the geometrical magnitudes and in the manner and method of representing the measuring of these magnitudes, and finally the momentous gap in the theory of parallels, to fill which all efforts of mathematicians have so far been in vain.

Nikolai Lobachevsky

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Nikolai Lobachevsky
Russian - Mathematician
December 1, 1792 - February 24, 1856

We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater, the one than the other. This astonishes our dimension of brains, which is only about six inches long, five broad, and six in depth, in the largest heads.

Voltaire

The mathematicians are well acquainted with the difference between pure science, which has only to do with ideas, and the application of its laws to the use of life, in which they are constrained to submit to the imperfections of matter and the influence of accidents.

Samuel Johnson

... on principle, it is quite wrong to try founding a theory on observable magnitudes alone. In reality the very opposite happens. It is the theory which decides what we can observe.

Albert Einstein

Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.

Archimedes

One of the first and most difficult steps in a science is to conceive clearly the nature of the magnitudes about which we are arguing.

William Stanley Jevons

One... gets an impression that civilization is something which was imposed on a resisting majority by a minority which understood how to obtain possession of the means to power and coercion. It is, of course, natural to assume that these difficulties are not inherent in the nature of civilization itself but are determined by the imperfections of the cultural forms which have so far been developed.

Sigmund Freud

There is the theory that all the living forms in the world have arisen from a single source which itself came from an inorganic form. This theory can be called the 'general theory of evolution,' and the evidence which supports this is not sufficiently strong to allow us to consider it as anything more than a working hypothesis.

Gerald A. Kerkut

That this subject [of imaginary magnitudes] has hitherto been considered from the wrong point of view and surrounded by a mysterious obscurity, is to be attributed largely to an ill-adapted notation. If, for example, +1, -1, and the square root of -1 had been called direct, inverse and lateral units, instead of positive, negative and imaginary (or even impossible), such an obscurity would have been out of the question.

Carl Friedrich Gauss

At the heart of each of us, whatever our imperfections, there exists a silence pulse of perfect rhythm which is absolutely individual and unique, and yet which connects us to everything else.

George Leonard

None of us are perfect, for which reason we should heed the voice of charity when it whispers in our ears, "Do not magnify the imperfections of others.

Elizabeth Keckley

In 1975, ... [speaking with Shiing Shen Chern], I told him I had finally learned ... the beauty of fiber-bundle theory and the profound Chern-Weil theorem. I said I found it amazing that gauge fields are exactly connections on fiber bundles, which the mathematicians developed without reference to the physical world. I added, "this is both thrilling and puzzling, since you mathematicians dreamed up these concepts out of nowhere." He immediately protested: "No, no. These concepts were not dreamed up. They were natural and real."

Chen-Ning Yang

What we have not had to decipher, to elucidate by our own efforts, what was clear before we looked at it, is not ours. From ourselves comes only that which we drag forth from the obscurity which lies within us, that which to others is unknown.

Marcel Proust

History balances the frustration of 'how far we have to go' with the satisfaction of 'how far we have come.' It teaches us tolerance for the human shortcomings and imperfections which are not uniquely of our generation, but of all time.

Lewis F. Powell, Jr.

Endeavor to be always patient of the faults and imperfections of others; for thou hast many faults and imperfections of thine own that require forbearance. If thou art not able to make thyself that which thou wishest, how canst thou expect to mold another in conformity to thy will?

Thomas a Kempis

That which causes us trials shall yield us triumph: and that which make our hearts ache shall fill us with gladness. The only true happiness is to learn, to advance, and to improve: which could not happen unless we had commenced with error, ignorance, and imperfection. We must pass through the darkness, to reach the light.

Albert Pike

Are imperfections is which make we grate.

Craig Benzine

A Quote by Nikolai Lobachevsky

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